COMPOSITION ON MV-ALGEBRAS

被引：2
|
作者：
Di Nola, A. [1 ]
Flondor, P. [2 ]
Gerla, B. [1 ]
机构：
[1] Univ Salerno, Dept Math & Comp Sci, I-84084 Fisciano, SA, Italy
[2] Politechn Univ, Dept Comp Sci, Bucharest, Romania
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2006年 / 5卷 / 04期
关键词：
MV-algebras; composition of functions; MV-modules;
D O I：
10.1142/S0219498806001818
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we introduce an extension of MV-algebras obtained by adding a binary operation and a constant, with the aim of modelling composition of functions. The variety of Composition MV-algebra (CMV-algebra, for short) is defined and some results regarding ideals and congruences are stated. Further, we define modules over CMValgebras showing that to any substitution corresponds an endomorphism of modules.
引用
收藏
页码：417 / 439
页数：23
相关论文
共 50 条
  • [31] Free MV-algebras
    Di Nola, Antonio
    Grigolia, Revaz
    NEW DIMENSIONS IN FUZZY LOGIC AND RELATED TECHNOLOGIES, VOL II, PROCEEDINGS, 2007, : 207 - +
  • [32] Roughness in MV-algebras
    Rasouli, S.
    Davvaz, B.
    INFORMATION SCIENCES, 2010, 180 (05) : 737 - 747
  • [33] On semirings and MV-algebras
    Di Nola, Antonio
    Lenzi, Giacomo
    2017 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE), 2017,
  • [34] On monadic MV-algebras
    Di Nola, A
    Grigolia, R
    ANNALS OF PURE AND APPLIED LOGIC, 2004, 128 (1-3) : 125 - 139
  • [35] On implication in MV-algebras
    Jānis Cīrulis
    Algebra universalis, 2007, 56 : 237 - 239
  • [36] On pseudo MV-algebras
    A. Dvurečenskij
    Soft Computing, 2001, 5 (5) : 347 - 354
  • [37] Polyhedral MV-algebras
    Busaniche, Manuela
    Cabrer, Leonardo
    Mundici, Daniele
    FUZZY SETS AND SYSTEMS, 2016, 292 : 150 - 159
  • [38] On Free MV-Algebras
    J. Jakubík
    Czechoslovak Mathematical Journal, 2003, 53 : 311 - 317
  • [39] ON COMPLETE MV-ALGEBRAS
    JAKUBIK, J
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 1995, 45 (03) : 473 - 480
  • [40] On implication in MV-algebras
    Cirulis, Janis
    ALGEBRA UNIVERSALIS, 2007, 56 (02) : 237 - 239
12345